825974127 has 12 divisors (see below), whose sum is σ = 1301535144. Its totient is φ = 500590320.

The previous prime is 825974119. The next prime is 825974129. The reversal of 825974127 is 721479528.

It is a happy number.

It is not a de Polignac number, because 825974127 - 2³ = 825974119 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825974129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4171488 + ... + 4171685.

It is an arithmetic number, because the mean of its divisors is an integer number (108461262).

Almost surely, 2^825974127 is an apocalyptic number.

825974127 is a deficient number, since it is larger than the sum of its proper divisors (475561017).

825974127 is a wasteful number, since it uses less digits than its factorization.

825974127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8343190 (or 8343187 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 825974127 is about 28739.7656044721. The cubic root of 825974127 is about 938.2577229879.

The spelling of 825974127 in words is "eight hundred twenty-five million, nine hundred seventy-four thousand, one hundred twenty-seven".